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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. #define ll  long long
  4. const ll INF = (ll)4e18;
  5.  
  6. int main(){
  7.     ios::sync_with_stdio(false);
  8.     cin.tie(nullptr);
  9.  
  10.     int n, m;
  11.     cin >> n >> m;
  12.     int s[m], p[m], w[m];
  13.     for(int i = 0; i < m; i++){
  14.         cin >> s[i] >> p[i] >> w[i];
  15.     }
  16.     vector<ll> dp(n+1, INF), ndp(n+1);
  17.     dp[0] = 0;
  18.  
  19.     for(int i = 0; i < m; i++){
  20.         ndp = dp;
  21.         deque<int> deq;
  22.         auto &pi = p[i];
  23.         auto &wi = w[i];
  24.         int si = s[i];
  25.         for(int j = 0; j <= n; j++){
  26.             if(j-1 >= 0){
  27.                 int t = j-1;
  28.                 ll val = dp[t] - (ll)pi * t;
  29.                 while(!deq.empty() && (dp[deq.back()] - (ll)pi * deq.back()) >= val)
  30.                     deq.pop_back();
  31.                 deq.push_back(t);
  32.             }
  33.             while(!deq.empty() && deq.front() < j - si)
  34.                 deq.pop_front();
  35.             if(!deq.empty()){
  36.                 ll best = dp[deq.front()] - (ll)pi * deq.front();
  37.                 ndp[j] = min(ndp[j], best + wi + (ll)pi * j);
  38.             }
  39.         }
  40.         dp.swap(ndp);
  41.     }
  42.  
  43.     cout << dp[n] << "\n";
  44.     return 0;
  45. }
  46.  
Success #stdin #stdout 0.01s 5320KB
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stdout
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118
https://ideone.com/wvcUeO
language:
C++14 (gcc 8.3)
created:
1 day ago
visibility:
public

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